document.write( "Question 726171: Write the equation x^2+8y^2-14x-15=0 in the standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. Then graph the equation. \n" ); document.write( "
Algebra.Com's Answer #444495 by stanbon(75887)\"\" \"About 
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Write the equation x^2+8y^2-14x-15=0 in the standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. Then graph the equation.
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\n" ); document.write( "Both the x^2 and y^2 are present so it is ellipse or hyperbola
\n" ); document.write( "The sign of the coefficients are the same so it is an ellipse.
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\n" ); document.write( "Complete the square on the x and on the y terms.
\n" ); document.write( "x^2 -14x + 49 + 8(y^2) = 15+49
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\n" ); document.write( "Factor:
\n" ); document.write( "(x-7)^2 + 8(y-0)^2 = 64
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\n" ); document.write( "Standardize
\n" ); document.write( "(x-7)^2/8^2 + (y-0)^2/(sqrt(8))^2 = 1
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\n" ); document.write( "Center: (7,0)
\n" ); document.write( "Semi major axis: 8 (horizontal)
\n" ); document.write( "Semi minor axis: 2sqrt(2) (vertical)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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